Extensions of the control variational method

• Autorzy: Sprekels J. , Tiba D.
• Języki publikacji: EN

Abstrakty

EN

The control variational method is a development of the variational approach, based on optimal control theory. In this work, we give an application to a variational inequality arising in mechanics and involving unilateral conditions both in the domain and on the boundary, and we explore the extension of the method to time-dependent problems.

Słowa kluczowe

EN

optimal control; calculus of variations; contact problems; evolution problems

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2011
• Tom: Vol. 40, no 4
• Strony: 1099--1108
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Sprekels J.

autor

Tiba D.

• Weierstrass Institute for Applied Analysis and Stochastics Mohrenstrasse 39, 10117 Berlin, Germany,

Bibliografia

• Arnăutu, V., Langmach, H., Sprekels, J. and Tiba, D. (2000) On the approximation and the optimization of plates. Numer. Funct. Anal. Optim. 21, 337-354.
• Barboteu, M., Sofonea, M. and Tiba, D. (2012) The control variational method for beams in contact with deformable obstacles. ZAMM Z. Angew. Math. Mech. 92(1), 25-39, DOI 10.1002/zamm.201000161 .
• Bergounioux, M. and Tiba, D. (1996) General optimality conditions for constrained convex control problems. SIAM J. Control Optim. 34, 698-711.
• Matei, A. and Ciurcea, R. (2010) Weak solvability for a class of contact problems. Ann. Acad. Rom. Sci. Ser. Math. Appl. 2(1), 25-44.
• Neittaanmäki, P., Sprekels, J. and Tiba, D. (2006) Optimization of Elliptic Systems. Theory and Applications. Springer, New York.
• Sprekels, J. and Tiba, D. (2001) Control variational methods for differentia equations. In: Internat. Ser. Numer. Math. 139. Birkhäuser, Basel, 245-257.
• Sprekels, J. and Tiba, D. ((2009)) The control variational approach for differentia systems. SIAM J. Control Optim. 47, 3220-3236.
• Sofonea, M. and Tiba, D. (2010) The control variational method for elastic contact problems. Ann. Acad. Rom. Sci. Ser. Math. Appl. 2(1), 99-122.